Carving is seldom seen anymore because of the time involved.
Take a look at some of the high end custom built guns from the 1800s and you will be amazed at the amount and extent of some of the stocks.
Designs can run from simple, like a monogram, to full blown works of art that cover an entire stock.
Of course the larger and more involved a design becomes, the higher the price tag, and it may be your grandchildren who finally see that gun become worth more than any other of the same model.
So like any other item of customization, it must be something YOU truly like and want.
Carving on a gunstock?
And please have an idea of what you want, while artists do enjoy freedom to create, they also live in fear of the customer who says,
"you decide"
Because we do not know your personality and passions to have the work reflect YOU.
Imagine spending anywhere from ten hours up to several weeks creating a carved stock and then the customer doesn't like it!?
Think about it, you are paying to have your gun
CUSTOMIZED into a one of a kind work of art, it should reflect your taste and personality, not that of the craftsman.
Below is a carve design in progress, you can see the size of the tool that is used for most of the work and appreciate how long and involved it can become.   
And the same stock finished.
Another example of a carved stock, more will come later as I am still adding to this one.
As is apparent already, this one is quite a bit more involved, and eventually will have ebony replacing the stock tip and grip cap that were plastic from the factory...
The fore end of the same stock
The wrist or "neck" area, you can see a line where this stock had been broken nearly off, staining the wood darker would hide this almost completely.
Intricate scrollwork this extensive will run a bit more than most are willing to invest in a gun that sees a lot of field use...
But this deer scene or similar can be had in the $3-400 range depending on added extra image segments like the pine and oak sprigs in this one.
An option to checkering to make a different is basket weave.
More time consuming than checkering, and therefore a bit more expensive, but a very different look in comparrison to check or even the stamped factory basket weave seen on some rifles.
Here is a shot just starting the for end of the stock with the addition of oak and vine so it would blend with the stock images.